Mathematics as the foundation of social reality and AI

This text provides a profound analysis of mathematics not only as a computational tool, but above all as a medium shaping social relations and technological development. The author traces the evolution from the Indo-Arabic system, treated as a key epistemic device, to advanced neural networks and Big Data. The article sheds light on the emancipation of mathematical entities such as imaginary numbers and their role in modern economics. It critically examines statistical pitfalls, distinguishing correlation from causality in predictive algorithms. A key element is an analysis of the aporia of democratic systems through the lens of Arrow's theorem and the problem of gerrymandering. The entire work concludes with a reflection on the need for global AI regulations based on solid logical and ethical foundations, pointing to mathematics as a universal language for describing contemporary civilizational challenges.